刁心峰, 张正仁. 在非对易相空间下研究轨道角动量的本征值[J]. 云南大学学报(自然科学版), 2011, 33(2): 169-171, .
引用本文: 刁心峰, 张正仁. 在非对易相空间下研究轨道角动量的本征值[J]. 云南大学学报(自然科学版), 2011, 33(2): 169-171, .
DIAO Xin-feng, ZHANG Zheng-ren. The eigenvalues of the orbit angular momentum in noncommutative phase-space[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(2): 169-171, .
Citation: DIAO Xin-feng, ZHANG Zheng-ren. The eigenvalues of the orbit angular momentum in noncommutative phase-space[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(2): 169-171, .

在非对易相空间下研究轨道角动量的本征值

The eigenvalues of the orbit angular momentum in noncommutative phase-space

  • 摘要: 在非对易相空间研究带电粒子的轨道角动量,先通过一个变换矩阵将坐标算符转换成粒子数空间的产生湮灭算符,再利用对角化的方法求得相应的本征值.结果显示在非对易相空间下其本征值出现0点值,并得到这个值与非对易参数的关系.

     

    Abstract: In order to discuss the orbit angular momentum of the charged particle in noncommutative phase-space,the coordinate operators can be transformed into the annihilation and creation operators through a transformation matrix firstly.And then obtain the corresponding eigenvalues with the method of diagonalization.The result shows that there exists the zero-point angular momentum which is affected by the noncommutative parameters.

     

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